Expressions and Equations Part 2

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Presented by Mr. Laws 8th Grade Math, JCMS

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Presentation transcript:

Expressions and Equations Part 2 8.EE.2 Expressions and Equations Part 2

8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

8.EE.2 Students recognize Perfect squares and cubes Non-perfect squares and non-perfect cubes are irrational Squaring a number and square rooting a number are inverse operations Cubing a number and cube rooting a number are inverse operations

8.EE.2 Perfect squares and cubes Create an example below: Example: square root of 81 is a perfect square, cube root of 8 is a perfect cube Example: square root of 80 is not, cube root of 7 is not Create an example below:

8.EE.2 Squaring a number and square rooting a number are inverse operations Example: “squaring a number” 4^2=16 Inverse operation = square root of 16 equals 4 Give an example below:

8.EE.2 Cubing a number and cube rooting a number are inverse operations Example: “cubing a number” 2^3=8 Inverse operation = the cube root of 8 is 2 Give an example below:

8.EE.2 Squaring and Square rooting a number Give an example below: Example: Squaring a number = (1/3)^2 Square the numerator = 1^2 = (1*1) = 1 Square the denominator = 3^2 = (3*3) = 9 Then put it together = 1/9 Example: Square rooting a number = Square root of (1/9) Square root the numerator = square root 1 = 1 Square root the denominator = square root 9 = 3 Give an example below:

8.EE.2 Cubing and Cube rooting a number Give an example below: Example: Cubing a number = (2/3)^3 Cube the numerator = 2^3 = (2*2*2) = 8 Square the denominator = 3^3 = (3*3*3) = 27 Then put it together = 8/27 Example: Cube rooting a number = Cube root of (8/27) Cube root the numerator = cube root 8 = 2 Cube root the denominator = cube root 27 = 3 Give an example below: